Details

analyze235.0ms (5.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	87.4%	12.6%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
19.5%	49.1%	31.4%	8
24.6%	37.8%	37.6%	9
28.7%	33.7%	37.6%	10
33.3%	26%	40.7%	11
36.2%	19.9%	43.8%	12
38.6%	17.6%	43.8%	13
41.3%	13.3%	45.4%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	19×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify181.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	270	12
1	270	12

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 17.5b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.2b	(*.f64 x (log.f64 (/.f64 x y)))
16.8b	(log.f64 (/.f64 x y))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`log-prod_binary64_13925`
45×	`times-frac_binary64_13845`
43×	`add-sqr-sqrt_binary64_13861`
41×	`add-cube-cbrt_binary64_13874` `*-un-lft-identity_binary64_13839`
26×	`associate--l+_binary64_13776` `distribute-lft-in_binary64_13788` `distribute-rgt-in_binary64_13789`
8×	`add-exp-log_binary64_13877`
7×	`pow1_binary64_13900`
5×	`add-log-exp_binary64_13878` `add-cbrt-cube_binary64_13875` `div-inv_binary64_13836`
4×	`associate-r_binary64_13779`
3×	`cancel-sign-sub-inv_binary64_13805` `associate-l_binary64_13780`
2×	`rem-log-exp_binary64_13880` `log-pow_binary64_13928`
1×	`div-exp_binary64_13890` `sub-neg_binary64_13832` `flip--_binary64_13814` `unswap-sqr_binary64_13807` `log-div_binary64_13926` `diff-log_binary64_13931` `cbrt-unprod_binary64_13872` `*-commutative_binary64_13770` `pow-prod-down_binary64_13910` `prod-exp_binary64_13888` `flip3--_binary64_13843`

Counts

3 → 109

Calls

3 calls:

9.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
7.0ms	(*.f64 x (log.f64 (/.f64 x y)))
3.0ms	(log.f64 (/.f64 x y))

series231.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
79.0ms	(*.f64 x (log.f64 (/.f64 x y)))
48.0ms	(log.f64 (/.f64 x y))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5007	1782

prune289.0ms (6.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	112	6	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

Compiler

Compiled 5073 to 2551 computations (49.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_13870`
8×	`add-sqr-sqrt_binary64_13861` `add-cube-cbrt_binary64_13874` `*-un-lft-identity_binary64_13839`
4×	`pow1_binary64_13900` `add-log-exp_binary64_13878` `pow1/3_binary64_13921` `add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series624.0ms (14.7%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt.f64 x)
161.0ms	(cbrt.f64 y)
161.0ms	(cbrt.f64 x)
140.0ms	(cbrt.f64 y)

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5042	340

prune59.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

Compiler

Compiled 1346 to 533 computations (60.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_13870`
8×	`add-sqr-sqrt_binary64_13861` `add-cube-cbrt_binary64_13874` `*-un-lft-identity_binary64_13839`
4×	`pow1_binary64_13900` `add-log-exp_binary64_13878` `pow1/3_binary64_13921` `add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series594.0ms (14%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt.f64 y)
150.0ms	(cbrt.f64 x)
146.0ms	(cbrt.f64 x)
139.0ms	(cbrt.f64 y)

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5042	340

prune60.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

Compiler

Compiled 1437 to 545 computations (62.1% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
6.8b	(log.f64 (/.f64 (cbrt.f64 x) y))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-prod_binary64_13925`
20×	`add-sqr-sqrt_binary64_13861` `add-cube-cbrt_binary64_13874` `*-un-lft-identity_binary64_13839`
18×	`times-frac_binary64_13845` `cbrt-prod_binary64_13870`
7×	`add-exp-log_binary64_13877`
5×	`pow1_binary64_13900`
4×	`add-log-exp_binary64_13878` `add-cbrt-cube_binary64_13875`
3×	`pow1/3_binary64_13921`
2×	`rem-log-exp_binary64_13880`
1×	`div-exp_binary64_13890` `log-div_binary64_13926` `log-pow_binary64_13928` `div-inv_binary64_13836`

Counts

4 → 66

Calls

4 calls:

4.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series638.0ms (15.1%)

Counts

4 → 12

Calls

4 calls:

189.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
154.0ms	(cbrt.f64 x)
152.0ms	(cbrt.f64 x)
143.0ms	(cbrt.f64 x)

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4979	845
1	4979	845

prune117.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	78	6	84

Merged error: 0b

Counts

84 → 6

Compiler

Compiled 2557 to 1120 computations (56.2% saved)

regimes66.0ms (1.6%)

Compiler: Compiled 566 to 346 computations (38.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	31
1	26	31

end0.0ms (0%)

sample780.0ms (18.4%)

Algorithm

1×

intervals

Results

373.0ms	8000×	body	128	valid
28.0ms	800×	body	128	nan
1.0ms	31×	body	128	invalid

Compiler

Compiled 186 to 117 computations (37.1% saved)

Details

analyze235.0ms (5.5%)

sample21.0ms (0.5%)

simplify181.0ms (4.3%)

prune2.0ms (0%)

localize7.0ms (0.2%)

rewrite29.0ms (0.7%)

series231.0ms (5.4%)

simplify51.0ms (1.2%)

prune289.0ms (6.8%)

localize13.0ms (0.3%)

rewrite9.0ms (0.2%)

series624.0ms (14.7%)

simplify56.0ms (1.3%)

prune59.0ms (1.4%)

localize14.0ms (0.3%)

rewrite9.0ms (0.2%)

series594.0ms (14%)

simplify56.0ms (1.3%)

prune60.0ms (1.4%)

localize16.0ms (0.4%)

rewrite14.0ms (0.3%)

series638.0ms (15.1%)

simplify68.0ms (1.6%)

prune117.0ms (2.8%)

regimes66.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample780.0ms (18.4%)

Profiling